Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle

TL;DR

This paper investigates how the generalized uncertainty principle modifies the Cardy-Verlinde entropy formula for Schwarzschild black holes, showing that corrections can be incorporated through redefinitions of key parameters.

Contribution

It introduces a method to include GUP-induced corrections into the Cardy-Verlinde formula by redefining the Virasoro operator and central charge.

Findings

GUP leads to specific corrections in the entropy formula.

Corrections can be absorbed by parameter redefinitions.

Provides a framework for quantum gravity effects on black hole entropy.

Abstract

In this letter, we compute the corrections to the Cardy-Verlinde formula of $d-$dimensional Schwarzschild black hole. These corrections stem from the generalized uncertainty principle. Then we show, one can taking into account the generalized uncertainty principle corrections of the Cardy-Verlinde entropy formula by just redefining the Virasoro operator $L_0$ and the central charge $c$.